Finding the Third Proportional to 33,096 and 71,373

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 71,373 = 71,373 : x
2. Step 2: Convert to fraction form
   33,096/71,373 = 71,373/x
3. Step 3: Cross multiply
   33,096x = 71,373 × 71,373
4. Step 4: Simplify right side
   33,096x = 5,094,105,129
5. Step 5: Solve for x
   x = 5,094,105,129/33,096
6. Step 6: Final answer
   x = 153,919.06